ℕ atory
Play Now

Properties of the Number 10911

Ten Thousand Nine Hundred Eleven

Basics

Value: 10910 → 10911 → 10912

Parity: odd

Prime: No

Previous Prime: 10909

Next Prime: 10937

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 3637

Divisors: 1, 3, 3637, 10911

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101010011111

Octal: 25237

Duodecimal: 6393

Hexadecimal: 2a9f

Square: 119049921

Square Root: 104.45573225055675

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(0) = 0. For n > 0, smallest non-palindromic number k such that the smallest palindrome in the Reverse and Add! trajectory of k is reached after exactly n iterations. A23109
Indices of record high values in A033665, ignoring those numbers that are believed never to reach a palindrome. A65198
Consider the Reverse and Add! problem (cf. A001127); of all the n-digit numbers N which eventually reach a palindrome, pick that number N which takes the greatest number of steps to converge (in case of a tie, pick the smallest N); sequence gives values of N. A72216
55 'Reverse and Add' steps are needed to reach a palindrome. A65322
a(n) = A007290(n+2) - 1 = 2·C(n+2,3) - 1. A108766
Non-palindromic numbers m such that m·repunit of length k is palindromic for all large enough k. A370053
a(n) = T(n) concatenated with reverse(T(n)) divided by 11, where T(n) is the n-th triangular number. A84008
Number of integers in n-th generation of tree T(-2/3) defined in Comments. A274150
Number of partitions of 4n whose xor-sum is 2n. A370874
Greedy frac multiples of γ: a(1)=1, ∑n>0 frac(a(n)*x) = 1 at x=γ, where "frac(y)" denotes the fractional part of y. A80157